Question

The button pressing directs the incoming calls to the correct people

Answer 1

Answer:

Yes.

This statement is grammatically correct.

Explanation:

The button pressing directs the incoming calls to the correct people.

Though, it can be made a simple declarative sentence easily understood by the readers, the sentence is grammatically correct.  

This sentence seems particularly convoluted for the readers and it's a little vague.

However. with attention, the reader can understand the meaning of the sentence.